For the polynomial –2m2n3 + 2m?n3 + 7n2 – 6m4 to be a binomial with a degree of 4 after it has been fully simplified, which must be the missing exponent on the m in the second term? 0 1 2 4

Answers

Answer 1

Answer:

(C)2

Step-by-step explanation:

Given the polynomial:

[tex]-2m^2n^3 + 2m^{\boxed{x}}n^3 + 7n^2 - 6m^4[/tex]

where x is the missing exponent.

We desire our polynomial to be a binomial (have two terms) after simplification.

We observe that the first and second term are positive and negative of almost the same term.

Therefore, we rewrite the polynomial in such a way that the first and second term cancels out.

This is:

[tex]-2m^2n^3 + 2m^{\boxed{2}}n^3 + 7n^2 - 6m^4\\$Simplified, we have:\\\\=7n^2 - 6m^4[/tex]

Therefore, the missing exponent on the m in the second term is 2.

Answer 2

Answer:

the answer is c aka 2

Step-by-step explanation:

just took it on edge


Related Questions

What is the length of DE ?? Thx :)

Answers

Answer:

A; 10

Step-by-step explanation:

What we can see here is that the triangles are similar.

Hence, the ratio of their sides are equivalent.

Thus, mathematically;

ED/BA = DF/AC = BC/EF

what we want to calculate is ED = x

Thus;

x/15 = 12/18

Cross multiply;

18 * x = 12 * 15

18x = 180

x = 180/18

x = 10

There are two cube-shaped tanks. One of the tank has a 3 m side, while the other one has a side measuring half of the first one. Which tank can store more water and why

Answers

Answer: The tank which has 3 m side.

Step-by-step explanation: A cube is a form that has equal sides. To calculate the volume of it, multiply all three sides:

V = length*width*height

Since they are all the same, volume will be:

V = s³

One tank has a 3 m side, so its volume is:

V = 3³

V = 27 m³

The other has half of the first one side, then s = [tex]\frac{3}{2}[/tex] and volume will be:

V = [tex](\frac{3}{2})^{3}[/tex]

V = [tex]\frac{27}{8}[/tex] m³

As you can see, the volume of the second tank is [tex]\frac{1}{8}[/tex] smaller than the first one. Therefore, the tank which has 3 m side can store more water than the  tank with side measuring half of the first.

Valentino starts with a population of 1,500 amoebas that increases 35% in size every hour for a number of hours, h. The expression 1,500(1+0.35)h finds the number of amoebas after h hours. Which statement about this expression is true?
A) It is the initial population raised to the growth factor after h hours.
B) It is the sum of the initial population and the percent increase.
C) It is the sum of the initial population and the growth factor after h hours.
D)It is the product of the initial population and the growth factor after h hours.
(explanation please!!!)

Answers

Answer:

:are you the nice brianna??????????????

Step-by-step explanation

the triangle ADE
BC is parallel to DE
AB = 9cm, AC = 6cm, BD = 3cm, BC = 9cm

Answers

Answer:

a) DE is 12 cm

b) CE is 2 cm

Step-by-step explanation:

In the two triangles [tex]\triangle ABC[/tex] and [tex]\triangle ADE[/tex].

[tex]\angle A[/tex] is common.

BC || DE

[tex]\Rightarrow \angle B = \angle D\ and \\ \Rightarrow \angle C = \angle E[/tex]

[tex]\because[/tex] two parallel lines BC and DE are cut by BD and CE respectively and the angles are corresponding angles.

All three angles are equal hence, the triangles:

[tex]\triangle ABC[/tex] [tex]\sim[/tex] [tex]\triangle ADE[/tex].

Ratio of corresponding sides of two similar triangles are always equal.

[tex]\dfrac{AB}{AD} = \dfrac{BC}{DE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{9}{DE}\\\Rightarrow \dfrac{9}{12} = \dfrac{9}{DE}\\\Rightarrow DE = 12\ cm[/tex]

[tex]\dfrac{AB}{AD} = \dfrac{AC}{AE}\\\Rightarrow \dfrac{9}{9+3} = \dfrac{6}{AC+CE}\\\Rightarrow \dfrac{9}{12} = \dfrac{6}{6+CE}\\\Rightarrow 6+CE = \dfrac{4\times 6}{3}\\\Rightarrow 6+CE = 8\\\Rightarrow CE = 2\ cm[/tex]

So, the answers are:

a) DE is 12 cm

b) CE is 2 cm

A and b can do a piece of work in 30 days while b and c can do the same work in 24 days and c and a in 20 days. If they all work together, in how many days will the work finish?

Answers

Answer:

16 days.

Step-by-step explanation:

The work done by a and b in one day = 1/30

The work done by b and c in one day = 1/24

The work done by c and a in one day = 1/20

Find the sum of all these fractions , this will be the work done by 2a and 2b and 2c in one day. This gives 0.125, which is equivalent to 1/8.

The work done by 2 of each person = 8, so it takes double this value for just one of each person, this is 16 days.

Hope this helps

PLEASE HELP!!! Would you rather paint 3/4 of a circle or a circular ring? Using area, explain your reasoning. Include calculations in your reasoning.

Answers

Answer: I would paint either of the 3/4 of a circle or a circular ring.

Step-by-step explanation: We shall start by calling the three quarter circle on the left A, and the ring on the right we shall call B.

The area of both can be calculated and that figure which results in the lesser value (of area) shall cost you less to paint.

For A, the area of the circle is given as

Area = πr²

Where π shall be taken as 3.14 and the radius r is 6.

Area = 3.14 * 6²

Area = 3.14 * 36

Area = 113.04

The area of the quarter of the circle would be subtracted from the total area as shown in the calculation above.

Area of sector = ∅/360 * πr²

The sector is a quarter of the circle and that makes the angle at the sector to be equal to (360/4) 90 degrees. Therefore ∅ equals 90.

Area of sector = (90/360) * 113.04

Area of sector = 1/4 * 113.04

Area of sector = 28.26

Area of A therefore is derived as;

Area of A = 113.04 - 28.26

Area of A = 84.78 square metres

For B, the area of the ring is given as follows;

Area of B = Area of larger circle - Area of smaller circle

Area of B = πR² - πr²

Where R is the radius of the larger circle and r is the radius of the smaller inner circle. By factorizing the right hand side of the equation, we now have;

Area of B = π (R² - r²)

Area of B = 3.14 (6² - 3²)

Area of B = 3.14 (36 - 9)

Area of B = 3.14 * 27

Area of B = 84.78 square metres.

From the calculations shown along with the explanations, both the three-quarters and the ring have exactly the same area, which means you are going to spend exactly the same quantity of paint and spend the same amount of time painting either one of them.

So the answer is; I would paint EITHER ONE OF THEM.

help me please! i’m very behind.

0 Translating Inequalities
Match the inequality with its symbolic form,
A number is at most 6
A number is below 5
A number is not less than 5
A number is larger than 6

Answers

Answer:

A number is larger than 5 --> x > 5

A number is not less than 5 --> x ≥ 5

A number is at most 5 --> x ≤ 5

A number is below 5 --> x < 5

Step-by-step explanation:

Explaining each choice:

"A number is larger than 5": x > 5 is correct because the statement is implying numbers greater than 5.

"A number is not less than 5" x ≥ 5 is correct because the statement is implying numbers greater than or EQUAL to 5.

"A number is at most 5" x ≤ 5 is correct because the inequality shows numbers less than or EQUAL to 5.

"A number is below 5" x < 5 is correct because the inequality depicts numbers LESS THAN 5.

In the diagram, line c is a transversal of lines a and_______

Answers

Answer:

b

Step-by-step explanation:

C cuts a and b as well.Therefore it will be the transversal of a and b.

plzz mark this answer as brainliest answer

Answer:

b

Step-by-step explanation:

just  did it on edge

Wegnerkolmp or someone please help me with this question about slope....

Answers

Answer:

The slope is -3/4

Step-by-step explanation:

We need two points to find the slope

We have one point at (0,5) and we have one point at (4,2)

We can use the slope formula

m = (y2-y2)/(x2-x1)

   = (2-5)/( 4-0)

   = -3/4

The slope is -3/4

Answer:

-3/4

Step-by-step explanation:

Get the coordinates of 2 points on the line:

(0, 5) and (4, 2)

Use formula to find the slope:

m= (y2-y1)/(x2-x1)m=(2-5)/(4-0)= -3/4

So the slope is -3/4

Please help me ASAP!

Answers

Answer:

Exponential growth

Step-by-step explanation:

This is not a negative so it is growing.

Hope this helps!

The graph represents a distribution of data. Which statement about the data is true

Answers

Answer:

the answer is D i believe

Step-by-step explanation:

Solve (2x + y) (2x - y)

Answers

Answer:

Hello There!

~~~~~~~~~~~

(2x + y) (2x - y) =

[tex]4x^{2} - y^{2}[/tex]

Step-by-step explanation: Simplify the expression.

Hope this helped you. Brainliest would be nice!

☆_____________❤︎______________☆

Answer:

Step-by-step explanation:

there is  formula (a+b)(a-b)=a^2-b^2

(2x+y)(2x-y)=(2x)^2-y^2=4x^2-y^2

The balance of errands average balance checking account at the beginning of last cycle was $400 and the only transaction for the cycle was a check that Aaron route for $200 which cleared exactly halfway through the cycle on what amount did Aaron's checking account pay interest last cycle

Answers

Answer:

$300

Step-by-step explanation:

Here we are given:

Balance at the beginning of last cycle(first half) = $400

Balance halfway through the cycle(second half cycle) = $200

To find the amount Aaron's checking account pay interest last cycle, let's find the average balance.

Use the formula for average:

[tex] \frac{Bal 1 + Bal 2}{2} [/tex]

[tex] \frac{400 + 200}{2} [/tex]

[tex] \frac{600}{2} = 300[/tex]

Average = $300

Therefore, the amount Aaron's checking account pay interest last cycle is $300

In a test of a method of gender selection, 725 couples used the XSORT method and 368 of them had baby girls. Choose the correct answer below. A. The data set is neither continuous nor discrete. B. A continuous data set because there are infinitely many possible values and those values can be counted C. A continuous data set because there are infinitely many possible values and those values cannot be counted D. A discrete data set because there are a finite number of possible values

Answers

Answer:

D. A discrete data set because there are a finite number of possible values

Step-by-step explanation:

If in a test of a method of gender selection, 725 couples used the XSORT method and 368 of them had baby girls. Therefore, this is a discrete data set because there are a finite number of possible values.

A discrete data is a data set in which the number of possible values are either finite or countable.

For continuous data, there are infinitely many possible values in the data set and those values are uncountable, meaning they cannot be counted.

In this scenario, 725 couples used the XSORT method and 368 of them had baby girls. Therefore, this is a discrete data because the values (725 and 368) are finite and can be counted.

There are nuts in three boxes. In the first box, there are 6 fewer pounds of nuts than in the other two boxes combined. In the second box, there are 10 fewer pounds of nuts than in the other two boxes combined. How many pounds of nuts are there in the third box?

Answers

Answer:

  8 pounds

Step-by-step explanation:

Let a, b, c represent the number of pounds of nuts in the first, second, and third boxes, respectively. We can write the equations ...

  a = b +c -6 . . . . . first box has 6# fewer than the total of the others

  b = a +c -10 . . . . second box has 10# fewer than the total of the others

Substituting the second equation into the first, we find ...

  a = (a +c -10) +c -6

  0 = 2c -16 . . . . subtract a

  0 = c -8 . . . . . . divide by 2

  8 = c . . . . . . . . . add 8

There are 8 pounds of nuts in the third box.

 can anyone please help me I really need help please help me thank you

Answers

Answer:

so length is a and width is b

2(a+b)=82

a+b=41

2b+3=41

b=19

a=22

A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?
A. 3 B. t<4
C. t>4
D. 3>t>4

Answers

Answer: 3 < t < 4

Step-by-step explanation:

Given the following information :

Initial Velocity of projectile = 112 ft/s

Height (h) above the ground after t seconds :

h = –16t2 + 112t

To calculate the time when h exceeds 192 Feets (h >192)

That is ;

-16t^2 + 112t = > 192

-16t^2 + 112t - 192 = 0

Divide through by - 16

t^2 - 7t + 12 = 0

Factorizing

t^2 - 3t - 4t + 12 =0

t(t - 3) - 4(t - 3) = 0

(t-3) = 0 or (t-4) =0

t = 3 or t=4

Therefore, t exist between 3 and 4 for height in excess of 192ft

–16(3)^2 + 112(3) = 192 feets

–16(4)^2 + 112(4) = 192 feets

3 < t < 4

expand this expression 3m(2m+n-5)​

Answers

Answer:

6m^2 + 3mn - 15m.

Step-by-step explanation:

3m(2m + n - 5)

= (3m * 2m) + (3m * n) - (3m * 5)

= 6m^2 + 3mn - 15m.

Hope this helps!

Answer:

[tex]6m^2+3mn-15m[/tex]

Step-by-step explanation:

[tex]3m(2m+n-5)=\\3m*2m+3m*n+3m*(-5)=\\6m^2+3mn+(-15m)=\\6m^2+3mn-15m[/tex]

-4x+7>x-13
Can someone please help

Answers

Answer:

-4x+7>x-13

Group like terms

We have

- 4x - x > - 13 - 7

-5x > - 20

Divide both sides by - 5

-5x / -5 > -20/-5

x < 4

Hope this helps you

Answer:

x < 4

Step-by-step explanation:

[tex]-4x+7>x-13\\Subtract ; -x from-both-sides\\-4x+7-x>x-13-x\\-4x-x+7>-13\\Subtract; -7 -from-both-sides\\-5x+7 -7>-13-7\\-5x>-20\\Divide- both- sides -by -5\\\frac{-5x}{-5} >\frac{-20}{5} \\x < 4[/tex]

helppppppppppppppppppppppppppppppp plz

Answers

The answer is the second image from left to right (B). Examples of direct and inverse variations are showed in the image below. :)

How many days are there in 12 years?

Answers

Answer: 4380

Step-by-step explanation:

Answer:

4380 days

Step-by-step explanation:

365 (# of days in a year) x 12 (years) = 4380 days in 12 years

A jacket is on sale for 10% off including the discount and 7% tax the sales price of the jacket is $115.56 what is the price of the jacket before the discount and tax

Answers

Answer:

120.00

Step-by-step explanation:

Let x be the original price

The price is 10% off, or we pay 90% of the original price

.9 x

Then we have to pay 7% sales tax

.9x * 7%

.9x * .07

.063x is the tax

Add this to the .9x we have to pay for the jacket

.9x + .063x = .963x

This is the cost of the jacket

.963x = 115.56

Divide each side by.963

.963x/.963 = 115.56/.963

x =120.00

The cost of the jacket before discount and tax is 120.00

BRAINLIEST LCM PICTURE INCLUDED

Answers

Answer:  D) 11/9

Step-by-step explanation:

LCM of 5, 9, 3, 8, 7 = 5 x 9 x 8 x 7 = 2520

Convert each fraction so the denominator = 2520

[tex]\dfrac{3}{5}\bigg(\dfrac{9\times 8 \times 7}{9\times 8 \times 7}\bigg)=\dfrac{1512}{2520}\\\\\\\dfrac{5}{9}\bigg(\dfrac{5\times 8 \times 7}{5\times 8 \times 7}\bigg)=\dfrac{1400}{2520}\\\\\\\dfrac{2}{3}\bigg(\dfrac{5\times 3\times 8 \times 7}{5\times 3\times 8 \times 7}\bigg)=\dfrac{1680}{2520}\\\\\\\dfrac{5}{8}\bigg(\dfrac{5\times 9 \times 7}{5\times 9 \times 7}\bigg)=\dfrac{1575}{2520}\\\\\\\dfrac{4}{7}\bigg(\dfrac{5\times 9 \times 8}{5\times 9 \times 8}\bigg)=\dfrac{1440}{2520}\\\\\\[/tex]

The smallest number is  [tex]\dfrac{1400}{2520}=\dfrac{5}{9}[/tex]  and the largest number is [tex]\dfrac{1680}{2520}=\dfrac{2}{3}[/tex]

[tex]\dfrac{5}{9}+\dfrac{2}{3}\\\\\\=\dfrac{5}{9}+\dfrac{2}{3}\bigg(\dfrac{3}{3}\bigg)\\\\\\=\dfrac{5+6}{9}\\\\\\=\large\boxed{\dfrac{11}{9}}[/tex]

Please answer this in two minutes

Answers

Answer:

131°.

Step-by-step explanation:

its equal to that other angle i forgot how but i learned this 1 week ago


Please answer this question now in two minutes

Answers

Answer:

30+37=67

180-67=113

Step-by-step explanation:

its a triangle lol

The value of -9 is than the value of -12 because -9 is to the of -12 on the number line.

Answers

Answer: greaterright

Step-by-step explanation:

A football team carried out a report to see the impact of stretching on preventing injury. Of the 32 footballers in the squad 25 stretch regularly. Of those who stretch, 3 got injured last year. There was a total of 8 injured players last year. The results can be presented in a frequency tree. What fraction of players are not stretching regularly?

Answers

Answer:

1/16

Step-by-step explanation:

Total = 32 footballers

25 stretch regularly.

3 injure last year

now, 22 stretch regularly.

out of 32, 8 are injured. Therefore, 32-8=24 should stretch regularly but only

22 stretch regularly. Therefore, 24-22 =2 are not stretching regularly.

fraction of players are not stretching regularly = 2/32 =1/16

25 POINTS! The graph shows two lines, M and N. A coordinate plane is shown with two lines graphs. Line M has a slope of 1 and passes through the y axis at negative 2. Line N has a slope of 1 and passes through the y axis at negative 2. How many solutions are there for the pair of equations for lines M and N? Explain your answer. PLS ANSWER AS SOON AS POSSIBLE

Answers

Answer:

Infinite solutions

Step-by-step explanation:

Both lines have the same slope and y-intercept, therefore they are the same line and intersect at all points, resulting in infinite solutions.

The correct answer is infinite solutions

If the circumference of a circular tank is 44m. Find the diameter

Answers

Answer:

14 m

Solution,

Circumference of circular tank = 44m

Radius = ?

Diameter= ?

Now,

Circumference of a circle = 44

[tex]or \: 2\pi \: r \: = 44[/tex]

[tex]or \: 2 \times 3.14 \times r = 44[/tex]

[tex]or \: 6.28r = 44[/tex]

[tex]or \: r = \frac{44}{6.28} [/tex]

[tex]r = 7.0 \: m[/tex]

Again,

Diameter = 2 radius

= 2 * 7.0

= 14 m

Hope this helps..

Good luck on your assignment..

Answer:

2×3.14×r=44

6.28r=44

r=44/6.28

r=7.0

d=r

2×7.0

14

Simplify. 3/(square root)-125n^12 -5 n9 -5 n4 5 n4

Answers

Answer:

B) [tex]-5n^4[/tex]

Step-by-step explanation:

We want to simplify [tex]\sqrt[3]{-125n^{12}}[/tex]

[tex]\sqrt[3]{-125n^{12}} = \sqrt[3]{-1 * - 1 * -1 * 5 * 5 * 5 * n^4 * n^4 * n^4} \\\\= \sqrt[3]{(-1)^3 * 5^3 * (n^4)^3}\\\\= -1 * 5 * n^4\\\\= -5n^4[/tex]

The answer is [tex]-5n^4[/tex]

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